{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "841b27ff",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "ab7e89f5",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "c29398b4",
   "metadata": {},
   "outputs": [],
   "source": [
    "def set_chinese_font(plt: \"matplotlib.pyplot\") -> None:\n",
    "    \"\"\"\n",
    "        设置中文字体\n",
    "    \"\"\"\n",
    "    import matplotlib.font_manager as fm  # 导入字体管理器模块并别名为 fm\n",
    "    from matplotlib.font_manager import FontProperties\n",
    "    # 获取系统中所有可用字体\n",
    "    font_path = fm.findSystemFonts()\n",
    "    chinese_fonts = [f for f in font_path if 'simhei' in f.lower() or 'heiti' in f.lower() or 'microsoftyahei' in f.lower()]\n",
    "    chinese_font = chinese_fonts[0]\n",
    "    font = FontProperties(fname=chinese_font) \n",
    "    font_family = font.get_name()\n",
    "    plt.rcParams[\"font.family\"] = font_family\n",
    "set_chinese_font(plt)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "efe3f92e",
   "metadata": {},
   "source": [
    "数据定义"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "ae01afb1",
   "metadata": {},
   "outputs": [],
   "source": [
    "N = [50, 100, 150, 200, 250, 300]           # 停留点数\n",
    "TLDP = [1.3, 2.0, 2.3, 2.5, 3.2, 3.6]       # TLDP 运行时间\n",
    "LPPM = [0.9, 1.5, 1.8, 2.0, 2.4, 2.7]       # LPPM 运行时间\n",
    "DPLPA = [0.7, 1.0, 1.1, 1.4, 1.5, 1.8]      # DPLPA 运行时间\n",
    "UPDP_LPP = [0.6, 0.9, 1.0, 1.3, 1.4, 1.6]   # UPDP-LPP 运行时间"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "b2e5a861",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 创建图表对象 figize：图表尺寸\n",
    "plt.figure(figsize=(6, 4))  \n",
    "\n",
    "# 线条样式\n",
    "plt.plot(\n",
    "    N, TLDP, label=\"TLDP\", color=\"#0072BD\", linestyle=\"-\", marker=\"o\", markersize=5\n",
    ")\n",
    "plt.plot(\n",
    "    N, LPPM, label=\"LPPM\", color=\"#9ECAE1\", linestyle=\"--\", marker=\"s\", markersize=5\n",
    ")\n",
    "plt.plot(\n",
    "    N, DPLPA, label=\"DPLPA\", color=\"#31A354\", linestyle=\"-\", marker=\"^\", markersize=5\n",
    ")\n",
    "plt.plot(\n",
    "    N,\n",
    "    UPDP_LPP,\n",
    "    label=\"UPDP-LPP\",\n",
    "    color=\"#8E6BB2\",\n",
    "    linestyle=\"-.\",\n",
    "    marker=\"o\",\n",
    "    markersize=5,\n",
    ")\n",
    "\n",
    "# 设置坐标轴\n",
    "plt.xlabel(\"停留点数N\")          # 横轴标签\n",
    "plt.ylabel(\"运行时间/s\")         # 纵轴标签\n",
    "plt.xticks(N)                    # 横轴刻度与N对齐\n",
    "plt.ylim(0.5, 3.7)               # 纵轴范围（匹配原图）\n",
    "plt.yticks(np.arange(0.5, 3.8, 0.5))  # 纵轴刻度步长0.5\n",
    "\n",
    "# 图例\n",
    "plt.legend(loc=\"upper left\")\n",
    "\n",
    "# 布局显示\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "my_env",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
